3.3 Postulates and Diagrams

Front

Complete the Three Point Postulate: "Through any three noncollinear points, there exists exactly____________________"

Back

one plane

Front

Complete the Line-Intersection Postulate: "If two lines intersect, then their intersection is ____________________"

Back

exactly one point

Front

Complete the Plane-Line Postulate: "If two points lie in a plane, then the line containing them ____________________"

Back

lies in the plane.

Front

True or False: 3 noncollinear points determine a plane

Back

True

Front

True or False: A line contains at least 1 point.

Back

False

Front

What is a point in geometry?

Back

A point is a location in space that has no size or dimension.

Front

What is a line in geometry?

Back

A line is a straight one-dimensional figure that extends infinitely in both directions.

Front

What is a plane in geometry?

Back

A plane is a flat two-dimensional surface that extends infinitely in all directions.

Front

Define noncollinear points.

Back

Noncollinear points are points that do not all lie on the same line.

Front

What does it mean for lines to intersect?

Back

Lines intersect when they cross each other at a single point.